Tag: mathematical reasoning

Questions Related to mathematical reasoning

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

To perform product of maxterms Boolean function must be brought into

  1. and terms

  2. or terms

  3. not terms

  4. nand terms

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For performing Product of Maxterms, it has to be brought into POS, i.e; Product of Sum form. For this, the Boolean Function must be brought into OR terms.

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

Minterms are also called

  1. standard sum

  2. standard product

  3. standard division

  4. standard subtraction

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among all practically interesting boolean functions.

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

The conditional $( p \wedge q ) \Rightarrow p$ is 

  1. neither tautology nor contradiction

  2. a tautology

  3. a contradiction

  4. both tautology and contradiction

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Constructing a truth table for (p AND q) => p: if (p AND q) is true, then p must be true. If (p AND q) is false, the implication is vacuously true. Thus, it is a tautology.

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

Boolean algebra is also called

  1. switching algebra

  2. arithmetic algebra

  3. linear algebra

  4. algebra

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Boolean algebra is also called switching algebra..


It was invented by mathematician George Boole in 1849.Boolean algebra or 

switching algebra ia a system of mathematical logic to perform different 

mathematical operation in binary system.

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

To perform product of maxterms Boolean function must be brought into

  1. and terms

  2. or terms

  3. not terms

  4. nand terms

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For performing Product of Maxterms, it has to be brought into POS, i.e; Product of Sum form. For this, the Boolean Function must be brought into OR terms.

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

Minterms are also called

  1. standard sum

  2. standard product

  3. standard division

  4. standard subtraction

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among all practically interesting boolean functions.